Booster C 3.26b - Equations (2)

Learning Objective:

• we are learning to:
  • create and solve linear equations to solve shape problems
  • to solve cubic and other equations by trial and improvement methods

Worked Solutions to Booster C Ex 3.26b:

Investing:

• This topic is useful because these are common D & C grade GCSE exam questions
• In a typical year these skills are worth about ### out of 200 of the available marks at GCSE higher tier
• This skill leads to plotting graphs of functions such as in Booster C

• After your GCSE you might expect to use this to solve problems that arise in sciences (especially physics and chemistry) at AS/A-level
  • This topic could help you if you want to work in engineering, electronics, economics and other areas where complicated equations need a practical, accurate but not exact answer.

Preparing:

• Before you start it would help to know how to solve simple linear equations and you can substitute into formulas including cubing and squaring;
• You will have a deeper understanding if you also are fluent with negative numbers and have a robust understanding of place value

Explaining:

• The best method(s) for questions such as these is...
• 
• 
• Watch out for...The desired solution is an organised search for a value which is the closest value (to the required degree of precision, e.g. 1 decimal place) to the exact solution. Marks would often be missed or denied if the method is omitted.
• In the exam you can check your answer by...

Modeling:

• Here are some examples of people getting questions on this topic right:
• Here are some examples of people getting questions on this topic wrong in typical ways:

Practicing:

• Some more mixed examples:

Sharing:

• One of the most effective ways to revise is to teach someone else.
• How would you explain this topic to a friend?
• Make a revision card or poster showing the key points and illustrate it with examples.
• Write a 'fake exam question' to assess this topic and write a mark scheme to mark it. Test your question out on another learner. Can you make your question and mark scheme so realistic that you can fool your maths teacher?

Assessing:

• Check you've mastered this skill by trying these adapted GCSE past-paper questions:

Developing:

• Next try learning...